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Finding the Fourth Proportional to 12,821.94, 17,683.20 and 8,344.08

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Solution

The fourth proportional to 12,821.94, 17,683.20 and 8,344.08 is: 11,507.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,821.94 : 17,683.20 = 8,344.08 : x
  2. Step 2: Convert to fraction form
    12,821.94/17,683.20 = 8,344.08/x
  3. Step 3: Cross multiply
    12,821.94x = 17,683.20 × 8,344.08
  4. Step 4: Simplify right side
    12,821.94x = 147,550,035.46
  5. Step 5: Solve for x
    x = 147,550,035.46/12,821.94
  6. Step 6: Final answer
    x = 11,507.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.